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110 (number)

From Wikipedia, the free encyclopedia
Natural number
← 109110 111 →
Cardinalone hundred ten
Ordinal110th
(one hundred tenth)
Factorization2 × 5 × 11
Divisors1, 2, 5, 10, 11, 22, 55, 110
Greek numeralΡΙ´
Roman numeralCX,cx
Binary11011102
Ternary110023
Senary3026
Octal1568
Duodecimal9212
Hexadecimal6E16

110 (one hundred [and] ten) is thenatural number following109 and preceding111.

In mathematics

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110 is asphenic number and apronic number.[1] Following theprime quadruplet (101, 103, 107, 109), at 110, theMertens function reaches a low of −5.

110 is the sum of three consecutivesquares,110=52+62+72{\displaystyle 110=5^{2}+6^{2}+7^{2}}.

RSA-110 is one of theRSA numbers, large semiprimes that are part of theRSA Factoring Challenge.

In base 10, the number 110 is aHarshad number[2] and aself number.[3]

In other fields

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110 is also:

  • A percentage in the expression "To give 110%", meaning to give a little more effort than one's maximum effort
  • Lowest number to not be considered a favourite by anyone among 44,000 people surveyed in a 2014 online poll[4] and subsequently adopted by British television showQI as the show's favourite number in 2017.

Eleventy

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Look upeleventy,eleventy-first, oreleventy-eleven in Wiktionary, the free dictionary.
Comparetwelfty.

As 110

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Other meanings ofeleventy

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  • Eleventy has also been used to mean an indefinite large number - "lots".[citation needed] Similarlyeleventy-eleven was used in nineteenth century Mississippi in the same role.[6]

References

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Wikimedia Commons has media related to110 (number).
  1. ^"Sloane's A002378 : Oblong (or promic, pronic, or heteromecic) numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-27.
  2. ^"Sloane's A005349 : Niven (or Harshad) numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-27.
  3. ^"Sloane's A003052 : Self numbers or Colombian numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2016-05-27.
  4. ^Bellos, Alex (2014-04-08)."'Seven' triumphs in poll to discover world's favourite number".The Guardian.ISSN 0261-3077. Retrieved2017-02-08.
  5. ^Etymology at www.etymoline.com
  6. ^Hubert Anthony Shands (1893).Some Peculiarities of Speech in Mississippi. Norwood Press. p. 43.
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